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2089411506 = 2327134612767
BaseRepresentation
bin111110010001001…
…1110001110110010
312101121121002202100
41330202132032302
513234342132011
6543155201230
7102530463510
oct17442361662
95347532670
102089411506
11982466876
124a38a6216
13273b51490
1415b6d14b0
15c3674d56
hex7c89e3b2

2089411506 has 96 divisors (see below), whose sum is σ = 5585868288. Its totient is φ = 549659520.

The previous prime is 2089411487. The next prime is 2089411507. The reversal of 2089411506 is 6051149802.

It is not an unprimeable number, because it can be changed into a prime (2089411507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753735 + ... + 756501.

It is an arithmetic number, because the mean of its divisors is an integer number (58186128).

Almost surely, 22089411506 is an apocalyptic number.

2089411506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089411506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792934144).

2089411506 is an abundant number, since it is smaller than the sum of its proper divisors (3496456782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2089411506 is a wasteful number, since it uses less digits than its factorization.

2089411506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2089411506 is about 45710.0810106480. The cubic root of 2089411506 is about 1278.4232509668.

It can be divided in two parts, 20894 and 11506, that added together give a square (32400 = 1802).

The spelling of 2089411506 in words is "two billion, eighty-nine million, four hundred eleven thousand, five hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 461 546 819 922 1383 1638 2766 2767 3227 4149 5534 5993 6454 8298 8301 9681 11986 16602 17979 19362 19369 24903 29043 35958 35971 38738 41951 49806 53937 58086 58107 71942 83902 107874 107913 116214 125853 174321 215826 251706 251797 323739 348642 377559 503594 647478 755118 755391 1275587 1510782 2266173 2551174 3826761 4532346 7653522 8929109 11480283 16582631 17858218 22960566 26787327 33165262 49747893 53574654 80361981 99495786 116078417 149243679 160723962 232156834 298487358 348235251 696470502 1044705753 2089411506